a+2b=2π/3 ①tan(a/2)*tanb=2-√3 ②①==>a=2π/3-2b ==>a/2=π/3-b代入②：tan(π/3-b)*tanb=2-√3∴(tanπ/3-tanb)/(1+tanπ/3tanb)*tanb=2-√3∴√3tanb-tan²b=(1+√3tanb)(2-√3)=2-√3+(2√3-3)tanb整理t...